A radiative correction of order α2(Zα)5m to the Lamb shift connected with a polarization insertion in one of the two external Coulomb lines is obtained. This correction arises from a gauge invariant set of diagrams which contain, besides the polarization insertion in the Coulomb leg, all one-loop radiative photon insertions in the electron line with two external Coulomb lines. A new contribution to the Lamb shift in an arbitrary hydrogen-like ion is equal to 0.611 [ α2(Zα)5 πn3]m for any S-level with the principal quantum number n. For hydrogen itself we obtain a correction 3.31 kHz for the 2S state and 26.5 kHz for the 1S state. The contribution for the 2S state is larger than the accuracy of contemporary experiments while the contribution for the 1S state is comparable with the experimental error.
|Number of pages
|Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
|Published - Feb 25 1993
Bibliographical noteFunding Information:
pleasure helpful discussions with S.G. Karshenboim and V.A. Shelyuto on the asymptotic behavior of the electron factor. He is deeply grateful to the Physics Department of Penn State University for kind hospitality. This work was supported by the National Science Foundation under grant number PHY-9120102.
ASJC Scopus subject areas
- Nuclear and High Energy Physics